GCF of 4318/314, 2352/6726
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4318/314, 2352/6726 i.e 2/1055982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4318/314, 2352/6726.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 4318/314,2352/6726?
Given fractions are 4318/314,2352/6726
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 4318/314,2352/6726, numerators are 4318,2352
Denominators are 314,6726
The GCF of 4318,2352 is 2 .
LCM of 314,6726 is 1055982.
The greatest common factor of 4318/314,2352/6726 = [GCF of 4318,2352]/[LCM of 314,6726]= 2/1055982
Therefore, the GCF of 4318/314,2352/6726 is 2/1055982.
To find the highest common factor of 4318,2352, we have to find the factors of both numbers and list the highest common factor.
The factors of 4318 are 1, 2, 17, 34, 127, 254, 2159, 4318
The factors of 2352 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352
The HCF of 4318,2352 is 2.
Lets's calculate GCF of 4318,2352
| 2 | 4318, 2352 |
| 2159, 1176 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4318,2352 By Matching Biggest Common Factor Method
Now, list down the factors of 4318
:1,2,17,34,127,254,2159,4318
Now, list down the factors of 2352
:1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,49,56,84,98,112,147,168,196,294,336,392,588,784,1176,2352
Greatest Common Factor
We found the factors 4318,2352 . The biggest common factor number is the GCF number.
So the greatest common factor 4318,2352 is 2.
Lets's calculate LCM of 314,6726
| 2 | 314, 6726 |
| 157, 3363 |
∴ So the LCM of the given numbers is 2 x 157 x 3363 = 1055982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1055982
Therefore, the GCF of Fractions 4318/314,2352/6726 is 2/1055982
Least Common Multiple of 314,6726 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 314,6726 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,6726) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,6726) x common factors =2 x 1 = 2
LCM(314,6726) = ( 314 × 6726 ) / 2
LCM(314,6726) = 2111964 / 2
LCM(314,6726) = 1055982
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FAQs on GCF of Fractions of 4318/314, 2352/6726
1. What is the HCF of 4318,2352?
The HCF of 4318,2352 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 4318/314, 2352/6726?
Answer: GCF of Numerators as per given numbers 4318/314, 2352/6726 is
GCF of Numerators i.e. for 4318,2352 is 2
LCM of denominators i.e. for 314,6726 is 1055982.
Thus, GCF of Fractions is 2/1055982.Finally, GCF of Fractions for 4318/314, 2352/6726 is 2/1055982.